Mathematics Middle School

Amir is operating a machine that adds sand to a concrete mixture. The machine adds 1/10 ton of sand to the mixture in 4/5 minute. Enter a number in each box to complete the statements. Write the ratio that compares 1/10 ton of sand to 4/5 minute. The ratio in ton(s) per minute(s) is $$ ​. Simplify the ratio to find the amount of sand added in one minute. ton(s) per minute

Answers

Answer 1
 The ratio will be [tex] \frac{tonofsand}{minutes} [/tex]. Since we know the machine adds [tex] \frac{1}{10} [/tex] ton of sand to the mixture in [tex] \frac{4}{5} [/tex] minute, the only thing we need to do is replace those values in our ratio to get:
[tex] \frac{tonofsand}{minutes} = \frac{ \frac{1}{10} }{ \frac{4}{5} } [/tex]
Now, lets simplify our ratio. Notice that our ratio is a division of tow fractions, and remember that to dive fractions we just flip the second fraction and multiply:
[tex] \frac{ \frac{1}{10} }{ \frac{4}{5} } = \frac{1}{10} . \frac{5}{4} = \frac{5}{40} = \frac{1}{8} [/tex]
We can conclude that the ratio in ton(s) per minute(s) is [tex] \frac{1}{8} [/tex], which means [tex] \frac{1}{8} [/tex] ton of sand added in one minute ([tex] \frac{1}{8} ton/minute[/tex]) 


Related Questions

i really need help
;-;

Answers

Hi there! I can help you!

a. Okay. So we have to make a table for the amount of butterflies to total insects. Let's simplify the ratio. 36:100 simplifies to 9:25. We can use that ratio to make this table. Just multiply 25 by the amount it takes to get to 50 or 100, and multiply by the same amount at the top to find the amount of butterflies. If you do it correctly, your table should be as shown below in the image.

b. On that note, let's solve for the amount of butterflies in the conservatory. There are 450 total of them. Let's divide 450 by 100 to find the amount we will multiply by. 450/100 is 4.5. We will mutliply 36 by that amount to find the total amount of butterflies. 36 * 4.5 is 162. That's it. There are 162 butterflies in the conservatory.

Rule start at 1/2, add 1/3

Answers

Answer: 5/6

Change 1/2 into 3/6 and 1/3 into 2/6 and add them together.

what point is on the graph of every direct variation equation

Answers

Answer: The point (0,0)
This point is also known as the origin

The reason why is because every direct variation equation is of the form y = k*x
where k is some fixed number

If we plugged in x = 0 it leads to y = k*x = k*0 = 0. So (x,y) = (0,0)
Final answer:

In a direct variation equation, the graph passes through the origin (0,0). Every point on the graph can be represented as (kx, ky), where k is a constant.

Explanation:

In a direct variation equation, the graph passes through the origin (0,0). This means that when x=0, y=0. Every point on the graph can be represented as (kx, ky), where k is a constant. For example, if the direct variation equation is y = 2x, the graph would pass through (0,0), (1,2), (2,4), (3,6), and so on.

A storage tank has a height of 10 feet and a radius of 3 feet. The tank is 1/4 full of oil. How much oil in cubic feet is currently in the cylindrical tank? Leave in terms of pi

Answers

The amount of oil currently in the cylindrical tank is 45π cubic feet.

What is volume?

Volume is the capacity of a solid object.

To calculate the capacity of the oil in the cylindrical tank, we use the answer below.

Formula:

V = πr²h/4........... Equation 1

Where:

V = The volume of oil in the tankh = Height of the tankr = radius of the tank.

From the question,

Given:

h = 10 feetr = 3 feet

Substitute these values into equation 1

V = π×10×3²/2V = π×5×9V = 45π cubic feet

Hence, the amount of oil currently in the cylindrical tank is 45π cubic feet.

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The volume of oil currently in the cylindrical tank that is 1/4 full is (90/4) cubic feet.

To determine how much oil in cubic feet is currently in the cylindrical tank when the tank is 1/4 full, we use the formula for the volume of a cylinder, V =
2h, where r is the radius and h is the height. In this case, the radius is 3 feet and the height of the oil will be 1/4 of the total height of the tank.

First, calculate the volume of the entire tank:

Vtotal =  2h = 2(10). Plugging in the values we get

Vtotal =
(3)2(10).

Since the tank is 1/4 full, the volume of oil in the tank will be 1/4 of the total volume: Voil = (1/4)Vtotal = (1/4)
(3)2(10) = (9/4)
(10) = (90/4)
.

Therefore, the volume of oil in the tank is (90/4) cubic feet.

Evaluate the expression 5m – 6 for m = 7. 29 41 5 51

Answers

Hi, 
  So we know that M is 7 so what you should do is this

5x7-6

you need to multiply 5x7

5x7= 35

Now all you need to do is subtract 35 from 6 and you get 29!


When m = 7, the expression 5m - 6 evaluates to 29.

To evaluate the expression 5m - 6 for m = 7, we substitute m with 7:

5m - 6 = 5(7) - 6

Next, we perform the multiplication first:

5(7) = 35

Now we can substitute the value into the expression:

5m - 6 = 35 - 6

Finally, we perform the subtraction:

35 - 6 = 29

Therefore, when m = 7, the expression 5m - 6 evaluates to 29.

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#10 plz explain I did it and got -8 and I know that's wrong

Answers

x+1/-4-4x
Factor out the common term 4
x+1/−4(1+x)
rearrange
1 + x / -4 ( 1 + x)
cancel out 1 + x
1 / -4
rewrite
-1/4
Decimal form -0.25
Hope this helps​​

what is the area of the figure on the coordinate plane below?

Answers

even numbers on die: 2,4,6odd numbers on die: 1,3,5 3+3=6 -> 6 numbers in total3/6 chance because there are 3 even numbers. This would round to 1/2, so 1/2 

The length of the sides of a triangle are three consecutive integers. If the perimeter is 87, find the dimensions of the triangle. Show all work.

Answers

you can divide 87 by 3 which is 29, so each angle will be 29 degrees.
Since they are consecutive, that means they will all measure the same.

Hope this helps! :)
x = smallest side length
x+1 = midsized side length
x+2 = largest side length

Add up the three sides. Set the sum equal to 87 and then solve for x
(x)+(x+1)+(x+2) = 87
(x+x+x) + (1+2) = 87
3x+3 = 87
3x = 87-3
3x = 84
x = 84/3
x = 28

If x = 28, then
x+1 = 28+1 = 29
x+2 = 28+2 = 30

So the triangle has the three sides: 28, 29, 30
Check: 28+29+30 = 87

A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approximate pi. 21.5 cm² 78.5 cm² 100 cm² 178.5 cm² Circle inscribed inside a square with outside shaded, one side labeled 10 cm

Answers

To answer this question you will need to find the area of the square, and subtract the area of the circle from it. To find the area of the square you will multiply the length by the width In this case it would be 10×10 = 100 cm². To find the area Of the circle you would use the formula A =equals Pi times the radius squared. Since the diameter of the circle is 10 cm, the radius would be 5 cm. This would be 3.14×5 squared. The value of this is 78.5 cm². 100 cm² -78.5 cm² equals 21.5 cm² which is the answer.

What is another way to write 5(n-3)

Answers

5n -15 
hope it helps
please mark as brainliest

Another way to write 5(n-3) would be 5n - 15.

What is the solution for the system of equations?

Use the substitution method to solve.

y=5−3x
5x−4y= −3

Enter your answer in the boxes.

Answers

When using the substitution method for a system of equations, one equation should be y = ...  or x = ... (if both equations are not in this format you need to make one equation this way).
Once you have an equation in one of these formats, you take the equation and input it into the value of its correspondent of the other equation.
In this case you have y= 5-3x and 5x-4y=-3.
You should have 5x-4(5-3x)=-3.
Note how the first equation is substituted for the y value of the second equation. 
Next solve. First distribute, 5x-20+12x=-3. Combine like terms. 17x-20=-3. Separate the variable and constants by adding 20 to both sides.
17x-20+20=-3+20 -> 17x=17. Divide both sides by 17 to get x = 1.
Now we need to find y. Go back to the first equation and input your x value into it and solve. y=5-3(1) -> y=5-3 -> y = 2
You can check your answer by inputting both values into the second equation and solving. 5(1)-4(2)=-3 -> 5-8=-3 -> -3=-3
The answer is (1,2)

A Number with a zero as an exponent is equal to 0

Answers

yes it is I learned this last year and your welcome
No, no!! A number with a zero as an exponent is always equal to 1! Please do not listen to the other answer.

What is the area of this figure?



Enter your answer in the box.
units²

Answers

Given is the irregular hexagon.

We can divide the given figure into two triangles and one rectangle, and then find areas of each, and then add all of them to find the final answer.

We can find the dimensions by counting the blocks on graph. Given two triangles are identical in shape with base (b=7) and height (h=2).

The area of triangle [tex] =\frac{1}{2} bh = \frac{1}{2} (7)(2) = 7 [/tex] squared units.

Area of two triangles = 14 squared units.

Rectangle has length (l) same as base (b) of triangle i.e. l=7 and width (w=4).

Area of rectangle = l × w = 7 × 4 = 28 squared units.

Total area = 14 + 28 = 42 squared units.

So, final answer is 42 squared units.

Answer:

[tex]42[/tex] [tex]units^2[/tex]

Step-by-step explanation:

A simpler and faster way of solving this problem is through Pick's Theorem.

The theorem states that the area of any given shape (Specifically polygons) on a grid is the number of internal points (every point inside the shape) added to the quantity of the number of boundary points (Every point that is exactly on a point of the grid and is a part of the perimeter of the shape) divided by 2. Take this quantity and subtract 1 and it shows like so,

                                                  [tex]A=I+\frac{B}{2}-1[/tex].

In this case, we see that there are 36 internal points and 14 boundary points. So in turn, we get

                                                  [tex]A=36 + \frac{14}{2}-1\\A=36+7-1\\A=43-1\\A=\boxed{42}[/tex]

Hence giving our desired result of 42 square units.

YOU HAVE TO BE SURE ABOUT YOUR ANSWER BEFORE YOU POST! A slice is made parallel to the base of a right rectangular pyramid, as shown.

What is the area of the resulting two-dimensional cross-section?

Enter your answer in the box.

Answers

The area of the cross section has a length of 3.5 mm, and width of 2 mm, as given in the diagram.

Therefore the area of the section is 3.5*2=7 mm^2, using the area of rectangle formula.

Answer:

[tex]7\ mm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the resulting two-dimensional cross-section is the area of a rectangle

The area of a rectangle is equal to

[tex]A=bh[/tex]

we have

[tex]b=3.5\ mm[/tex]

[tex]h=2\ mm[/tex]

substitute

[tex]A=3.5*2=7\ mm^{2}[/tex]


Rearrange the formula, a=1/2bh , to solve for b in terms of A and h.

Answers

multiply both sides by 2 to cancel out the 1/2 and you get 2a=bh then divide both sides by h to isolate b and you get (2a)/h=b

big points+ brainiest

Answers

To get the length, just divide the area, which is 680, by 17, the width. 
680 ÷ 17 = 40 
The answer is D, 40 feet. 
Hope this helps!
a 228 

hope this helps

A welder orders argon gas and pure oxygen. The distributor requires a minimum order of $250. A cubic foot of argon gas costs $0.75 and a cubic foot of pure oxygen costs $0.50. To summarize the situation, the welder writes the inequality: 0.75a + 0.5p ≥ 250, where a is the number of cubic feet of argon gas and p is the number of cubic feet of pure oxygen. Which graph's shaded region shows the possible combinations of argon gas and pure oxygen the welder can buy?

Answers

0.75a + 0.5p ≥ 250
 The first thing you should do in this case is to plot the straight line.
 Next, you must evaluate ordered pairs of points in the given inequality to verify that the inequality is met.
 The set of points that meet the inequality will be given by the shaded region.
 Answer 
 See attached image.

Answer: Its the Last one

Step-by-step explanation:,,,, HOPE it helps :}

Given the following three measures of angles or sides, determine if it is possible to construct a unique triangle, more than one triangle, or no triangle.

sides 5 inches, 8 inches, and 15 inches
A) no triangle
B) a unique triangle
C) more than one triangle
D) the answer cannot be determined

Answers

A) no triangle
 I really hope this helps

Answer:

The answer is no triangle

Step-by-step explanation:

i put this answer on my test and i got it right.

What is the factorization of the trinomial below? x3 - 10x2 + 24x

Answers

Answer:

x³ - 10x² + 24x = x(x² - 10x + 24) =

x(x - 6)(x - 4)

Esther wants to know if the number of words on a page in her language arts book is generally more than the number of words on a page in her social studies book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.


Book Mean Median Mean Absolute Deviation
Language arts 78.5 60 14.2
Social studies 68.7 65 9.8


She claims that because the mean number of words on each page of the language arts book is greater than the mean number of words on each page of the social studies book, the language arts book has more words per page. Based on the data, is this a valid inference?

Yes, because there is a lot of variability in the language arts book data

No, because there is a lot of variability in the language arts book data

Yes, because the mean is larger in the language arts book

No, because the mean is larger in the social studies book

Answers

Answer: The correct answer is "No, because there is a lot of variability in the language arts book data."

The mean of the language arts book is higher than the mean of the social studies book, however, there is a lot of variability in the language arts book. This means that the language arts book could actually be lower than the social studies book. It is not likely but it could happen.

The correct choice is, No, because there is a lot of variability in the language arts book data.

What is Mean?

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

From the given data, it is clear that the mean number of pages of language arts book is greater than that of social studies book.

However, the mean absolute deviation is greater for language arts book and median is lower for language arts book.

This clears the fact that the variability is high for language arts book. So the number of pages could actually be less than that in social studies book.

Hence the correct option is that we cannot say a valid inference because there is a lot of variability in the language arts book data.

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Find the sum of 301 + 173 + 427 using mental math and the associative property of addition. Show how you can use the property to group the two of the address. Explain how you found the sum.

Answers

mental math and associative property of addition
i look at 173 and 427 and see that 
73+27=100
i add now the 100(from 173)+400(from 427)+100(see above)=600
easy
600+301=901

Sum Using Associative property of addition

 A+(B+C)=(A+B)+C=(A+C)+B

→301 + 173 + 427

=301 +(173+427)------Combining 173 and 427 first ,as adding unit digit of both three digit number gives 0.

=301 + 600

=901

⇒Using mental math

Add Hundreds=300+100+400

     =800

Add tens=73+27

 =100

Ones=1

Combine these three numbers

=800+100+1

=901

A coin weighs about 14^−2 pounds. Find the weight of 1000 of the coins. Round your answer to the nearest tenth.

1000 of the coins weigh about ______ pounds.

Answers

1000 of the coins weigh about 5 pounds

Answer:

1000 of the coins weigh about 5.1 pounds.

Step-by-step explanation:

Consider the provided information.

A coin weighs about 14^−2pounds.

This can be written as:

[tex]14^{-2}=\frac{1}{14^2}=\frac{1}{196}[/tex]

Now we need to find the weight of 1000 coins.

To find this simply multiply the weight of one coin with 1000.

[tex]\frac{1}{196}\times 1000=5.10\approx 5.1[/tex]

Hence, 1000 of the coins weigh about 5.1 pounds.

can you help me with this problem I can't find it out

Answers

He estimates that he will earn $44,800.

12% of 40,000 is 4,800
40,000+4,800=44,800
Money earned last year = $40,000
Money estimated to be earned this year = $40,000 + 12% of $40,000
= $40,000 + (12/100 × $40,000)
= $40,000 + $4,800
= $44,800
Plz mark it brainliest

Which angle measure in the triangle shown is the largest?

A.) B.) C.) D.) Not Possible

Answers

You haven't provided neither the diagram nor the options.
Therefore, I cannot provide an exact answer, however, I will try to help you with the concept.

For a triangle, the measure of each angle is proportional to the length of its opposite side.
This means that:
1- The largest angle is the angle opposite to the longest side
2- The smallest angle is the angle opposite to the shortest side

Since you are looking for the largest angle, pick the one facing the longest side

Some tips and tricks:
1- In a right angle triangle, we know that the hypotenuse is the longest side, therefore, the largest angle would be the right angle
2- In an obtuse triangle, the largest angle is simply the obtuse angle itself (the one whose measure is greater than 90)
3- In equilateral triangle, all three angles are equal

Hope this helps :)

Find the center of the circle (x - 3)2 + (y + 3)2 = 36.
A) (3, 3)
B) (3, -3)
C) (-3, 3)
D) (-3, -3)

Answers

Your answer is B) (3, -3) 

Answer:

B) 3,-3

Step-by-step explanation:

1:2=3:
Find the mising number

Answers

1:2 = 3:6

The second number is double the first.
the answer is
1:2=3:
6

You are going to the State Fair and would like to play one carnival game with the hopes of winning a prize. You can only choose one game to play and want to choose strategically so that you increase your chances of winning. Find the probability of winning each game below and explain HOW you found the probability for each game.
With that information, what game you will play? Explain.

Answers

Numbers: Each row and column has a string of values from 1 to 7. There are no repeated values in any of the rows or columns. This means that there is a 1 in 7 chance of winning. Let's say you picked the value "3". There is one three in the first row, then another three in the second, and so on, until you count up exactly 7 "three"s. The same can be said if you work along the columns instead of the rows. The probability 1/7 is equal to the decimal value 0.1429 roughly which converts to 14.29%. Keep in mind that each toss is independent of the previous one. 

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Ring Toss: There are 12 white bottles out of 36 bottles. Assuming each bottle is equally likely to land on, the probability of getting a white bottle is 12/36 = 1/3 = 0.333 = 33.3% roughly. Note: this is assuming that each toss lands on a bottle and there are no tosses that miss. 

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Spinner: There are 8 spaces. Of these spaces, there are 3 spaces we want to land on: 1, 2, or 5. So the probability of winning is 3/8 = 0.375 = 37.5%

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Nine Sided Dice: We want either the value 2 or a number less than 4 (1,2,3). So there are 3 outcomes we want (1,2,3) out of 9 total. The probability of winning is 3/9 = 1/3 = 0.333 = 33.3% roughly which is the same chances of winning as the ring toss

-------------------------------------------------------
-------------------------------------------------------

In summary, the best game to play is the spinner game because this provides the highest probability of winning (which was 37.5%) 

What is the surface area of the prism

Answers

not 100% sure its been a while. but ill try to explain.

so for the box on the top the sides are 10 and 8. the squares area is 80. 

or the triangles, the height is 3 inches and base is 8 inches. so 8x3 is 24. but for triangles you divide by two. so it would be 12 for one triangle resulting in 24 for both of them.

now lets combine the bottom two boxes. each side is 10 because 10 on one side and 5+5 is 10. so 10x10=100.
if we take all the values and add them up well get 204.(80+24+100=204.
have a good day

Jennas garden is 5 yd long. How long is her garden in feet?

Answers

Your answer is 15 feet.
3 feet in one yard, meaning you would take 5 times 3. 5 times three is equal to 15 feet.

What is the value of y in the equation 2 + y = −3 ?

Answers

the answer is y would equal -5
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